Application of Derivatives: JEE Mains 2024 1st Feb Shift 1

Hard· Increasing and decreasing functions· +4 / −1
5f(x)+4f(1x)=x2−45f(x)+4f\left(\frac1x\right)=x^2-4 and y=9f(x)⋅x2y=9f(x)\cdot x^2. If yy is strictly increasing function, find interval of xx.
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  • Previous-year question from JEE Mains 2024 1st Feb Shift 1.
  • Tagged hard difficulty.